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Find the frequency of the lowest note a piccolo can sound

  1. Mar 11, 2008 #1

    ~christina~

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    1. The problem statement, all variables and given/known data

    The overall length of a piccolo is 32cm. The resonationg air column vibrates as in a pipe open at both ends.

    a) find the frequency of the lowest note a piccolo can sound, assuming the speed of sound in air is 340m/s
    b) opening holes in the side effectively shorten the length of the resonant colum. Assume the hightest not a piccolo can sound is 4,000 Hz. Find the distance between adjacent antinodes for this mode of vibration.

    2. Relevant equations
    open pipe harmonics
    [tex]f_n= n \frac{v} {2L} [/tex]

    3. The attempt at a solution
    first of all for
    a) find the frequency of the lowest note a piccolo can sound, assuming the speed of sound in air is 340m/s

    I'm not sure what would be the definition of lowest note. Do they mean sound.
    thus the [tex]\lambda[/tex]??

    help?

    Thanks
     
  2. jcsd
  3. Mar 11, 2008 #2

    tiny-tim

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    Hi christina!

    The lowest note would be the one with the longest wavelength, which I think is the wave with a node in the middle of the column, and the maximum amplitude at both ends. :smile:
     
  4. Mar 12, 2008 #3

    ~christina~

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    I figured out part a) but how do I do part b?

    Thank you.
     
  5. Mar 12, 2008 #4

    tiny-tim

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    Hi christina!

    I think the fact that it's a 32cm piccolo is irrelevant.

    Question (b) just asks you for the antinode distance (which would be the same as the node distance) for any 4000Hz sound wave in air. :smile:
     
  6. Mar 12, 2008 #5

    ~christina~

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    Hello tiny-tim

    Thanks for your help.
     
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